Average Error: 0.7 → 0.7
Time: 2.7s
Precision: binary64
\[\frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}\]
↓
\[\frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}\]
\frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}
↓
\frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}
double code(double x) {
	return ((double) (1.0 / ((double) (((double) cos(((double) (2.0 * x)))) + ((double) pow(((double) sin(x)), 2.0))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) (((double) cos(((double) (2.0 * x)))) + ((double) pow(((double) sin(x)), 2.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[\frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}\]

  2. Final simplification0.7

    \[\leadsto \frac{1}{\cos \left(2 \cdot x\right) + {\left(\sin x\right)}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ 1 (+ (cos (* 2 x)) (pow (sin x) 2)))"
  :precision binary64
  (/ 1.0 (+ (cos (* 2.0 x)) (pow (sin x) 2.0))))